Abstract
Some previously obtained asymptotic results for branching Poisson processes are extended and sharpened. It is shown that under rather general conditions the number of events in both the transient and the equilibrium processes, suitably normalized, have a unit normal distribution. Finally, unique initial conditions are derived for the equilibrium process.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference15 articles.
1. Implications of a failure model for the use and maintenance of computers
2. Stationäre zufällige Punktfolgen III;Franken;Jahresbericht der DMV,1965
3. Non-homogeneous branching Poisson processes;Lewis;J. R. Statist. Soc.,1967
4. Über eine Klasse von zufälligen Punktfolgen;Franken;Wiss. Z. Friedrich-Schiller-Univ., Jena, Math. Naturwiss., Reihe,1965
Cited by
30 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献